Continuous feedback protocols for cooling and trapping a quantum harmonic oscillator
(2025) In Physical Review E 111(1).- Abstract
Quantum technologies and experiments often require preparing systems in low-temperature states. Here we investigate cooling schemes using feedback protocols modeled with a quantum Fokker-Planck master equation (QFPME) recently derived by Annby-Andersson et al. [Phys. Rev. Lett. 129, 050401 (2022)0031-900710.1103/PhysRevLett.129.050401]. This equation describes systems under continuous weak measurements, with feedback based on the outcome of these measurements. We apply this formalism to study the cooling and trapping of a harmonic oscillator for several protocols based on position and/or momentum measurements. We find that the protocols can cool the oscillator down to, or close to, the ground state for suitable choices of parameters.... (More)
Quantum technologies and experiments often require preparing systems in low-temperature states. Here we investigate cooling schemes using feedback protocols modeled with a quantum Fokker-Planck master equation (QFPME) recently derived by Annby-Andersson et al. [Phys. Rev. Lett. 129, 050401 (2022)0031-900710.1103/PhysRevLett.129.050401]. This equation describes systems under continuous weak measurements, with feedback based on the outcome of these measurements. We apply this formalism to study the cooling and trapping of a harmonic oscillator for several protocols based on position and/or momentum measurements. We find that the protocols can cool the oscillator down to, or close to, the ground state for suitable choices of parameters. Our analysis provides an analytically solvable case study of quantum measurement and feedback and illustrates the application of the QFPME to continuous quantum systems.
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- author
- De Sousa, Guilherme ; Bakhshinezhad, Pharnam ; Annby-Andersson, Björn LU ; Samuelsson, Peter LU ; Potts, Patrick P. and Jarzynski, Christopher
- organization
- publishing date
- 2025-01
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review E
- volume
- 111
- issue
- 1
- article number
- 014152
- publisher
- American Physical Society
- external identifiers
-
- scopus:85216360990
- pmid:39972806
- ISSN
- 2470-0045
- DOI
- 10.1103/PhysRevE.111.014152
- language
- English
- LU publication?
- yes
- additional info
- Publisher Copyright: © 2025 authors. Published by the American Physical Society.
- id
- a7aaee96-74a6-4973-93e6-3bf60d280afd
- date added to LUP
- 2025-04-09 15:39:48
- date last changed
- 2025-07-16 23:26:55
@article{a7aaee96-74a6-4973-93e6-3bf60d280afd,
abstract = {{<p>Quantum technologies and experiments often require preparing systems in low-temperature states. Here we investigate cooling schemes using feedback protocols modeled with a quantum Fokker-Planck master equation (QFPME) recently derived by Annby-Andersson et al. [Phys. Rev. Lett. 129, 050401 (2022)0031-900710.1103/PhysRevLett.129.050401]. This equation describes systems under continuous weak measurements, with feedback based on the outcome of these measurements. We apply this formalism to study the cooling and trapping of a harmonic oscillator for several protocols based on position and/or momentum measurements. We find that the protocols can cool the oscillator down to, or close to, the ground state for suitable choices of parameters. Our analysis provides an analytically solvable case study of quantum measurement and feedback and illustrates the application of the QFPME to continuous quantum systems.</p>}},
author = {{De Sousa, Guilherme and Bakhshinezhad, Pharnam and Annby-Andersson, Björn and Samuelsson, Peter and Potts, Patrick P. and Jarzynski, Christopher}},
issn = {{2470-0045}},
language = {{eng}},
number = {{1}},
publisher = {{American Physical Society}},
series = {{Physical Review E}},
title = {{Continuous feedback protocols for cooling and trapping a quantum harmonic oscillator}},
url = {{http://dx.doi.org/10.1103/PhysRevE.111.014152}},
doi = {{10.1103/PhysRevE.111.014152}},
volume = {{111}},
year = {{2025}},
}